Answer: (a) 19448 ways
(b) 5292 ways
(c) 0.2721
Step-by-step explanation:
(a) 10 county council members be randomly elected out of the 17 candidates in the following ways:
= 
= 
= 
= 19448 ways
(b) 10 county council members be randomly elected from 17 candidates if 5 must be women and 5 must be men in the following ways:
we know that there are 7 women and 10 men in total, so
=
× 
=
× 
= 21 × 252
= 5292 ways
(c) Now, the probability that 5 are women and 5 are men are selected:
= 
= 
= 0.2721
Answer:
Basicallly, if the machine packs 2/3 of a box every 1/2 min, then the machine will pack twice as many boxes for 1 min, since 1/2 multiplied with 2 is 1.
2/3 multiplied with 2 is 4/3.
Therefore, the machine can pack 4/3 boxes per minute.
(what my research says)
First know how many pounds are in a ton
there are 2000 pounds in a ton
so simply divide
7000/2000=3.5
So there are 3.5 tons of brick on the truck
The first one you have
=
. To solve this you would multiply both sides by 3.
=x
Then simplify by dividing the numerator and denominator by 3.
=x (or in a mixed fraction 1
)
The second one you have
=
. To solve this you would multiply both sides by x.
x=3
Now you would divide both sides by
.
x=
You now then multiply 3 by 24 and then divide by 7.

x=
(in a mixed fraction would be 10
)
So 590 plus 29.5=619.50
because %100 of 590 is 590 and %20 of 50 is 29.50